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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.05932 |
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| _version_ | 1866908128176504832 |
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| author | Balanzario, Eugenio P. |
| author_facet | Balanzario, Eugenio P. |
| contents | In this note we consider the distribution of values of weighted sums of the von Mangoldt arithmetical function. By using a formula for the distribution of values of trigonometric polynomials, we are able to present evidence supporting the claim that these weighted sums follow a distribution with a normal-like behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05932 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the distribution of clusters and deserts of prime numbers Balanzario, Eugenio P. Number Theory In this note we consider the distribution of values of weighted sums of the von Mangoldt arithmetical function. By using a formula for the distribution of values of trigonometric polynomials, we are able to present evidence supporting the claim that these weighted sums follow a distribution with a normal-like behavior. |
| title | A note on the distribution of clusters and deserts of prime numbers |
| topic | Number Theory |
| url | https://arxiv.org/abs/2411.05932 |